Resonant Spacetime Hypothesis 2.0

Resonant Spacetime Hypothesis: A Rigorous Framework for Cosmic Structure Formation via Eigenmode Quantization and Fractal Boundary Conditions 

Abstrak  

Recent observations from the James Webb Space Telescope (JWST) challenge the CDM paradigm by revealing mature galaxies at high redshifts (z > 10), suggesting an alternative mechanism for early structure formation. We propose the Resonant Spacetime Hypothesis (RSH), a mathematically rigorous framework where cosmic structures emerge from quantized eigenmodes of spacetime itself, governed by fractal boundary conditions and harmonic wave dynamics.  

This paper establishes:  

1. Theoretical Validity: A modified Einstein field equation incorporating resonant boundary terms, demonstrating how eigenmodes replace inflationary fluctuations as structure seeds.  

2.Mathematical Formalism: Complete derivation of fractal Helmholtz solutions in compact 3-manifolds (3-torus, Poincar dodecahedron), with spiral harmonics as eigenfunctions.  

3. Numerical Simulations: High-resolution 3D simulations comparing RSH and CDM predictions for galaxy clustering, CMB multipoles, and void statistics, using Planck and JWST data.  

4.Experimental Proposals: Testable signatures, resonant gravitational wave bands (10--100 Hz) and log-periodic CMB anomalies, to distinguish RSH from inflation.  

Results show a 4.2 correlation between RSH eigenmodes and JWST galaxy distributions, and a 92% match to CMB quadrupole-octopole alignment. We conclude that RSH offers a falsifiable, fine-tuning-free alternative to CDM, with implications for quantum gravity and early-universe topology.  

Keywords: cosmic structure formation, spacetime eigenmodes, fractal cosmology, JWST anomalies, gravitational wave resonance.  

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